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30773952 = 2633111619
BaseRepresentation
bin111010101100…
…1001011000000
32010220110221000
41311121023000
530334231302
63015332000
7522400656
oct165311300
963813830
1030773952
1116409a20
12a381000
1364b6351
144130dd6
152a7d31c
hex1d592c0

30773952 has 112 divisors (see below), whose sum is σ = 98755200. Its totient is φ = 9319680.

The previous prime is 30773933. The next prime is 30773989. The reversal of 30773952 is 25937703.

It is a happy number.

It is a super-2 number, since 2×307739522 = 1894072243396608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18199 + ... + 19817.

Almost surely, 230773952 is an apocalyptic number.

30773952 is a gapful number since it is divisible by the number (32) 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 30773952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49377600).

30773952 is an abundant number, since it is smaller than the sum of its proper divisors (67981248).

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

30773952 is a wasteful number, since it uses less digits than its factorization.

30773952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 36.

The square root of 30773952 is about 5547.4275119194. The cubic root of 30773952 is about 313.3726503653.

The spelling of 30773952 in words is "thirty million, seven hundred seventy-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1188 1584 1619 1728 2112 2376 3168 3238 4752 4857 6336 6476 9504 9714 12952 14571 17809 19008 19428 25904 29142 35618 38856 43713 51808 53427 58284 71236 77712 87426 103616 106854 116568 142472 155424 160281 174852 213708 233136 284944 310848 320562 349704 427416 466272 480843 569888 641124 699408 854832 932544 961686 1139776 1282248 1398816 1709664 1923372 2564496 2797632 3419328 3846744 5128992 7693488 10257984 15386976 30773952