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48769504 = 2572191637
BaseRepresentation
bin1011101000001…
…0100111100000
310101202202011221
42322002213200
544441111004
64501144424
71131351100
oct272024740
9111682157
1048769504
1125590283
12143bb114
13a1472c4
146697200
154435354
hex2e829e0

48769504 has 72 divisors (see below), whose sum is σ = 117641160. Its totient is φ = 19789056.

The previous prime is 48769493. The next prime is 48769507. The reversal of 48769504 is 40596784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48769507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28974 + ... + 30610.

It is an arithmetic number, because the mean of its divisors is an integer number (1633905).

Almost surely, 248769504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48769504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58820580).

48769504 is an abundant number, since it is smaller than the sum of its proper divisors (68871656).

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

48769504 is a wasteful number, since it uses less digits than its factorization.

48769504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 48769504 is about 6983.5165926630. The cubic root of 48769504 is about 365.3558898227.

The spelling of 48769504 in words is "forty-eight million, seven hundred sixty-nine thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 76 98 112 133 152 196 224 266 304 392 532 608 784 931 1064 1568 1637 1862 2128 3274 3724 4256 6548 7448 11459 13096 14896 22918 26192 29792 31103 45836 52384 62206 80213 91672 124412 160426 183344 217721 248824 320852 366688 435442 497648 641704 870884 995296 1283408 1524047 1741768 2566816 3048094 3483536 6096188 6967072 12192376 24384752 48769504