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46989864 = 2332897333
BaseRepresentation
bin1011001101000…
…0001000101000
310021102022222100
42303100020220
544012133424
64355053400
71110256455
oct263201050
9107368870
1046989864
11245851a9
12138a1260
13997326c
14635282c
1541d2dc9
hex2cd0228

46989864 has 48 divisors (see below), whose sum is σ = 128711700. Its totient is φ = 15485184.

The previous prime is 46989857. The next prime is 46989871. The reversal of 46989864 is 46898964.

It is an interprime number because it is at equal distance from previous prime (46989857) and next prime (46989871).

It can be written as a sum of positive squares in 2 ways, for example, as 35497764 + 11492100 = 5958^2 + 3390^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 46989864.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2742 + ... + 10074.

Almost surely, 246989864 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 46989864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64355850).

46989864 is an abundant number, since it is smaller than the sum of its proper divisors (81721836).

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

46989864 is a wasteful number, since it uses less digits than its factorization.

46989864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7434 (or 7427 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 46989864 is about 6854.9153167636. The cubic root of 46989864 is about 360.8566635522.

The spelling of 46989864 in words is "forty-six million, nine hundred eighty-nine thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 178 267 356 534 712 801 1068 1602 2136 3204 6408 7333 14666 21999 29332 43998 58664 65997 87996 131994 175992 263988 527976 652637 1305274 1957911 2610548 3915822 5221096 5873733 7831644 11747466 15663288 23494932 46989864