Search a number
-
+
49102848 = 2143437
BaseRepresentation
bin1011101101010…
…0000000000000
310102101200110000
42323110000000
5100032242343
64512240000
71134236664
oct273240000
9112350400
1049102848
1125798773
1214540000
13a232c52
1467428a4
15449ded3
hex2ed4000

49102848 has 150 divisors (see below), whose sum is σ = 150662666. Its totient is φ = 15925248.

The previous prime is 49102847. The next prime is 49102873. The reversal of 49102848 is 84820194.

It can be written as a sum of positive squares in only one way, i.e., 47775744 + 1327104 = 6912^2 + 1152^2 .

It is a super-2 number, since 2×491028482 = 4822179363422208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49102847) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1327086 + ... + 1327122.

Almost surely, 249102848 is an apocalyptic number.

49102848 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 49102848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75331333).

49102848 is an abundant number, since it is smaller than the sum of its proper divisors (101559818).

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

49102848 is an frugal number, since it uses more digits than its factorization.

49102848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 49102848 is about 7007.3424349035. The cubic root of 49102848 is about 366.1864140409.

The spelling of 49102848 in words is "forty-nine million, one hundred two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 81 96 108 111 128 144 148 162 192 216 222 256 288 296 324 333 384 432 444 512 576 592 648 666 768 864 888 999 1024 1152 1184 1296 1332 1536 1728 1776 1998 2048 2304 2368 2592 2664 2997 3072 3456 3552 3996 4096 4608 4736 5184 5328 5994 6144 6912 7104 7992 8192 9216 9472 10368 10656 11988 12288 13824 14208 15984 16384 18432 18944 20736 21312 23976 24576 27648 28416 31968 36864 37888 41472 42624 47952 49152 55296 56832 63936 73728 75776 82944 85248 95904 110592 113664 127872 147456 151552 165888 170496 191808 221184 227328 255744 303104 331776 340992 383616 442368 454656 511488 606208 663552 681984 767232 909312 1022976 1327104 1363968 1534464 1818624 2045952 2727936 3068928 4091904 5455872 6137856 8183808 12275712 16367616 24551424 49102848