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46990008 = 23321361823
BaseRepresentation
bin1011001101000…
…0001010111000
310021102100011200
42303100022320
544012140013
64355054200
71110260052
oct263201270
9107370150
1046990008
112458531a
12138a1360
139973350
1463528d2
1541d2e73
hex2cd02b8

46990008 has 96 divisors (see below), whose sum is σ = 139470240. Its totient is φ = 14204160.

The previous prime is 46989991. The next prime is 46990039. The reversal of 46990008 is 80009964.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 56685 + ... + 57507.

It is an arithmetic number, because the mean of its divisors is an integer number (1452815).

Almost surely, 246990008 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 46990008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69735120).

46990008 is an abundant number, since it is smaller than the sum of its proper divisors (92480232).

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

46990008 is a wasteful number, since it uses less digits than its factorization.

46990008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 46990008 is about 6854.9258201676. The cubic root of 46990008 is about 360.8570321657.

The spelling of 46990008 in words is "forty-six million, nine hundred ninety thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 61 72 78 104 117 122 156 183 234 244 312 366 468 488 549 732 793 823 936 1098 1464 1586 1646 2196 2379 2469 3172 3292 4392 4758 4938 6344 6584 7137 7407 9516 9876 10699 14274 14814 19032 19752 21398 28548 29628 32097 42796 50203 57096 59256 64194 85592 96291 100406 128388 150609 192582 200812 256776 301218 385164 401624 451827 602436 652639 770328 903654 1204872 1305278 1807308 1957917 2610556 3614616 3915834 5221112 5873751 7831668 11747502 15663336 23495004 46990008