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47740992 = 2631331617
BaseRepresentation
bin1011011000011…
…1100001000000
310022211111022220
42312013201000
544210202432
64423131040
71116535365
oct266074100
9108744286
1047740992
1124a48572
1213ba3a80
139b77110
1464aa46c
1542d072c
hex2d87840

47740992 has 112 divisors (see below), whose sum is σ = 140646912. Its totient is φ = 14192640.

The previous prime is 47740991. The next prime is 47740993. The reversal of 47740992 is 29904774.

It is an interprime number because it is at equal distance from previous prime (47740991) and next prime (47740993).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47740991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77068 + ... + 77684.

It is an arithmetic number, because the mean of its divisors is an integer number (1255776).

Almost surely, 247740992 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 47740992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70323456).

47740992 is an abundant number, since it is smaller than the sum of its proper divisors (92905920).

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

47740992 is a wasteful number, since it uses less digits than its factorization.

47740992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 47740992 is about 6909.4856537951. The cubic root of 47740992 is about 362.7692604308.

The spelling of 47740992 in words is "forty-seven million, seven hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 156 186 192 208 248 312 372 403 416 496 617 624 744 806 832 992 1209 1234 1248 1488 1612 1851 1984 2418 2468 2496 2976 3224 3702 4836 4936 5952 6448 7404 8021 9672 9872 12896 14808 16042 19127 19344 19744 24063 25792 29616 32084 38254 38688 39488 48126 57381 59232 64168 76508 77376 96252 114762 118464 128336 153016 192504 229524 248651 256672 306032 385008 459048 497302 513344 612064 745953 770016 918096 994604 1224128 1491906 1540032 1836192 1989208 2983812 3672384 3978416 5967624 7956832 11935248 15913664 23870496 47740992