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46689972 = 22371314243
BaseRepresentation
bin1011001000011…
…0111010110100
310020212002121020
42302012322310
543423034342
64344421140
71104600240
oct262067264
9106762536
1046689972
112439a95a
12137777b0
139899904
1462b5420
1541740ec
hex2c86eb4

46689972 has 48 divisors (see below), whose sum is σ = 125486592. Its totient is φ = 13235040.

The previous prime is 46689947. The next prime is 46689989. The reversal of 46689972 is 27998664.

It is a happy number.

46689972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8883 + ... + 13125.

It is an arithmetic number, because the mean of its divisors is an integer number (2614304).

Almost surely, 246689972 is an apocalyptic number.

46689972 is a gapful number since it is divisible by the number (42) 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 46689972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62743296).

46689972 is an abundant number, since it is smaller than the sum of its proper divisors (78796620).

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

46689972 is a wasteful number, since it uses less digits than its factorization.

46689972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4388 (or 4386 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 46689972 is about 6833.0060734643. The cubic root of 46689972 is about 360.0873553444.

The spelling of 46689972 in words is "forty-six million, six hundred eighty-nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 131 262 393 524 786 917 1572 1834 2751 3668 4243 5502 8486 11004 12729 16972 25458 29701 50916 59402 89103 118804 178206 356412 555833 1111666 1667499 2223332 3334998 3890831 6669996 7781662 11672493 15563324 23344986 46689972