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4900743456 = 25377399901
BaseRepresentation
bin1001001000001101…
…10110100100100000
3110122112121120011220
410210012312210200
540014042242311
62130143535040
7232305426540
oct44406664440
913575546156
104900743456
112095384104
12b492ba480
136014185cb
14346c25320
151da39c206
hex1241b6920

4900743456 has 96 divisors (see below), whose sum is σ = 14903779968. Its totient is φ = 1381017600.

The previous prime is 4900743431. The next prime is 4900743457. The reversal of 4900743456 is 6543470094.

It is a tau number, because it is divible by the number of its divisors (96).

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 (4900743457) 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, 895 + ... + 99006.

It is an arithmetic number, because the mean of its divisors is an integer number (155247708).

Almost surely, 24900743456 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 4900743456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7451889984).

4900743456 is an abundant number, since it is smaller than the sum of its proper divisors (10003036512).

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

4900743456 is a wasteful number, since it uses less digits than its factorization.

4900743456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99994 (or 99986 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 4900743456 is about 70005.3101985842. The cubic root of 4900743456 is about 1698.5851499017.

The spelling of 4900743456 in words is "four billion, nine hundred million, seven hundred forty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 73 84 96 112 146 168 219 224 292 336 438 511 584 672 876 1022 1168 1533 1752 2044 2336 3066 3504 4088 6132 7008 8176 12264 16352 24528 49056 99901 199802 299703 399604 599406 699307 799208 1198812 1398614 1598416 2097921 2397624 2797228 3196832 4195842 4795248 5594456 7292773 8391684 9590496 11188912 14585546 16783368 21878319 22377824 29171092 33566736 43756638 51049411 58342184 67133472 87513276 102098822 116684368 153148233 175026552 204197644 233368736 306296466 350053104 408395288 612592932 700106208 816790576 1225185864 1633581152 2450371728 4900743456