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46022656 = 214532
BaseRepresentation
bin1010111110010…
…0000000000000
310012121012012211
42233210000000
543240211111
64322231504
71066120561
oct257440000
9105535184
1046022656
1123a84559
12134b5594
1396c4c54
146180168
154091521
hex2be4000

46022656 has 45 divisors (see below), whose sum is σ = 93811921. Its totient is φ = 22577152.

The previous prime is 46022653. The next prime is 46022657. The reversal of 46022656 is 65622064.

The square root of 46022656 is 6784.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 33177600 + 12845056 = 5760^2 + 3584^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46022651) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 868326 + ... + 868378.

Almost surely, 246022656 is an apocalyptic number.

46022656 is the 6784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46022656

46022656 is an abundant number, since it is smaller than the sum of its proper divisors (47789265).

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

46022656 is an frugal number, since it uses more digits than its factorization.

With its predecessor (46022655) it forms an eRAP, since the sums of their prime factors are consecutive (133 and 134).

46022656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The cubic root of 46022656 is about 358.3636017458.

The spelling of 46022656 in words is "forty-six million, twenty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 512 848 1024 1696 2048 2809 3392 4096 5618 6784 8192 11236 13568 16384 22472 27136 44944 54272 89888 108544 179776 217088 359552 434176 719104 868352 1438208 2876416 5752832 11505664 23011328 46022656