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49926912 = 283737251
BaseRepresentation
bin1011111001110…
…1001100000000
310110221112211220
42332131030000
5100240130122
64542035040
71144241340
oct276351400
9113845756
1049926912
1126200912
1214878a80
13a461069
1468b8d20
1545b325c
hex2f9d300

49926912 has 144 divisors (see below), whose sum is σ = 156586752. Its totient is φ = 13824000.

The previous prime is 49926871. The next prime is 49926917. The reversal of 49926912 is 21962994.

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

It is not an unprimeable number, because it can be changed into a prime (49926917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198787 + ... + 199037.

It is an arithmetic number, because the mean of its divisors is an integer number (1087408).

Almost surely, 249926912 is an apocalyptic number.

49926912 is a gapful number since it is divisible by the number (42) 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 49926912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78293376).

49926912 is an abundant number, since it is smaller than the sum of its proper divisors (106659840).

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

49926912 is a wasteful number, since it uses less digits than its factorization.

49926912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 300 counting only the distinct ones).

The product of its digits is 69984, while the sum is 42.

The square root of 49926912 is about 7065.8978198103. The cubic root of 49926912 is about 368.2235566654.

The spelling of 49926912 in words is "forty-nine million, nine hundred twenty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 128 148 168 192 222 224 251 256 259 296 336 384 444 448 502 518 592 672 753 768 777 888 896 1004 1036 1184 1344 1506 1554 1757 1776 1792 2008 2072 2368 2688 3012 3108 3514 3552 4016 4144 4736 5271 5376 6024 6216 7028 7104 8032 8288 9287 9472 10542 12048 12432 14056 14208 16064 16576 18574 21084 24096 24864 27861 28112 28416 32128 33152 37148 42168 48192 49728 55722 56224 64256 65009 66304 74296 84336 96384 99456 111444 112448 130018 148592 168672 192768 195027 198912 222888 224896 260036 297184 337344 390054 445776 449792 520072 594368 674688 780108 891552 1040144 1188736 1349376 1560216 1783104 2080288 2377472 3120432 3566208 4160576 6240864 7132416 8321152 12481728 16642304 24963456 49926912