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4904251136 = 28374312041
BaseRepresentation
bin1001001000101000…
…01110111100000000
3110122210012202210222
410210110032330000
540020442014021
62130351042212
7232350306161
oct44424167400
913583182728
104904251136
11209735a514
12b4a510368
13602076065
14347499768
151da8416ab
hex12450ef00

4904251136 has 72 divisors (see below), whose sum is σ = 10288588464. Its totient is φ = 2330173440.

The previous prime is 4904251133. The next prime is 4904251147. The reversal of 4904251136 is 6311524094.

It is a junction number, because it is equal to n+sod(n) for n = 4904251096 and 4904251105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4904251133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 401276 + ... + 413316.

It is an arithmetic number, because the mean of its divisors is an integer number (142897062).

Almost surely, 24904251136 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 4904251136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5144294232).

4904251136 is an abundant number, since it is smaller than the sum of its proper divisors (5384337328).

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

4904251136 is a wasteful number, since it uses less digits than its factorization.

4904251136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12137 (or 12123 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 4904251136 is about 70030.3586739351. The cubic root of 4904251136 is about 1698.9903042276.

The spelling of 4904251136 in words is "four billion, nine hundred four million, two hundred fifty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 37 43 64 74 86 128 148 172 256 296 344 592 688 1184 1376 1591 2368 2752 3182 4736 5504 6364 9472 11008 12041 12728 24082 25456 48164 50912 96328 101824 192656 203648 385312 407296 445517 517763 770624 891034 1035526 1541248 1782068 2071052 3082496 3564136 4142104 7128272 8284208 14256544 16568416 19157231 28513088 33136832 38314462 57026176 66273664 76628924 114052352 132547328 153257848 306515696 613031392 1226062784 2452125568 4904251136