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48099408 = 2437375373
BaseRepresentation
bin1011011101111…
…1000001010000
310100111200222120
42313133001100
544303140113
64434534240
71122560340
oct267370120
9110450876
1048099408
1125172885
1214137380
139c712b6
146560d20
154351a23
hex2ddf050

48099408 has 160 divisors (see below), whose sum is σ = 150633216. Its totient is φ = 12939264.

The previous prime is 48099407. The next prime is 48099419. The reversal of 48099408 is 80499084.

48099408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×480994083 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 48099408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48099407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 658860 + ... + 658932.

Almost surely, 248099408 is an apocalyptic number.

48099408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48099408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75316608).

48099408 is an abundant number, since it is smaller than the sum of its proper divisors (102533808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48099408 is a wasteful number, since it uses less digits than its factorization.

48099408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 48099408 is about 6935.3736741433. The cubic root of 48099408 is about 363.6748293552.

The spelling of 48099408 in words is "forty-eight million, ninety-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 53 56 73 74 84 106 111 112 146 148 159 168 212 219 222 259 292 296 318 336 371 424 438 444 511 518 584 592 636 742 777 848 876 888 1022 1036 1113 1168 1272 1484 1533 1554 1752 1776 1961 2044 2072 2226 2544 2701 2968 3066 3108 3504 3869 3922 4088 4144 4452 5402 5883 5936 6132 6216 7738 7844 8103 8176 8904 10804 11607 11766 12264 12432 13727 15476 15688 16206 17808 18907 21608 23214 23532 24528 27083 27454 30952 31376 32412 37814 41181 43216 46428 47064 54166 54908 56721 61904 64824 75628 81249 82362 92856 94128 108332 109816 113442 129648 143153 151256 162498 164724 185712 216664 219632 226884 286306 302512 324996 329448 429459 433328 453768 572612 649992 658896 858918 907536 1002071 1145224 1299984 1717836 2004142 2290448 3006213 3435672 4008284 6012426 6871344 8016568 12024852 16033136 24049704 48099408