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772100096 = 212251751
BaseRepresentation
bin101110000001010…
…101000000000000
31222210211202012212
4232001111000000
53040124200341
6204340441252
725063512455
oct5601250000
91883752185
10772100096
11366915259
121966a9228
13c3c64a81
147478582c
1547bb55eb
hex2e055000

772100096 has 52 divisors (see below), whose sum is σ = 1552227264. Its totient is φ = 384000000.

The previous prime is 772100071. The next prime is 772100111. The reversal of 772100096 is 690001277.

It is a super-2 number, since 2×7721000962 = 1192277116486418432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1027721 + ... + 1028471.

Almost surely, 2772100096 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 772100096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776113632).

772100096 is an abundant number, since it is smaller than the sum of its proper divisors (780127168).

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

772100096 is an equidigital number, since it uses as much as digits as its factorization.

772100096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 32.

The square root of 772100096 is about 27786.6891874509. The cubic root of 772100096 is about 917.3981686042.

The spelling of 772100096 in words is "seven hundred seventy-two million, one hundred thousand, ninety-six".

Divisors: 1 2 4 8 16 32 64 128 251 256 502 512 751 1004 1024 1502 2008 2048 3004 4016 4096 6008 8032 12016 16064 24032 32128 48064 64256 96128 128512 188501 192256 257024 377002 384512 514048 754004 769024 1028096 1508008 1538048 3016016 3076096 6032032 12064064 24128128 48256256 96512512 193025024 386050048 772100096