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774129972 = 2237113072729
BaseRepresentation
bin101110001001000…
…100100100110100
31222221122212200110
4232021010210310
53041134124342
6204452143020
725116665460
oct5611044464
91887585613
10774129972
11367a81340
12197307a70
13c44c5995
1474b534a0
1547e66c9c
hex2e244934

774129972 has 96 divisors (see below), whose sum is σ = 2260177920. Its totient is φ = 200344320.

The previous prime is 774129971. The next prime is 774130001. The reversal of 774129972 is 279921477.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (774129971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282304 + ... + 285032.

It is an arithmetic number, because the mean of its divisors is an integer number (23543520).

Almost surely, 2774129972 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 774129972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130088960).

774129972 is an abundant number, since it is smaller than the sum of its proper divisors (1486047948).

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

774129972 is a wasteful number, since it uses less digits than its factorization.

774129972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3061 (or 3059 counting only the distinct ones).

The product of its digits is 444528, while the sum is 48.

The square root of 774129972 is about 27823.1912619671. The cubic root of 774129972 is about 918.2014215252.

The spelling of 774129972 in words is "seven hundred seventy-four million, one hundred twenty-nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 307 308 462 614 921 924 1228 1842 2149 2729 3377 3684 4298 5458 6447 6754 8187 8596 10131 10916 12894 13508 16374 19103 20262 23639 25788 30019 32748 38206 40524 47278 57309 60038 70917 76412 90057 94556 114618 120076 141834 180114 210133 229236 283668 360228 420266 630399 837803 840532 1260798 1675606 2513409 2521596 3351212 5026818 5864621 9215833 10053636 11729242 17593863 18431666 23458484 27647499 35187726 36863332 55294998 64510831 70375452 110589996 129021662 193532493 258043324 387064986 774129972