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46972992 = 2631123967
BaseRepresentation
bin1011001100110…
…0000001000000
310021101110211110
42303030001000
544011113432
64354443320
71110156333
oct263140100
9107343743
1046972992
1124573560
1213893540
139968691
14634a61a
1541ccdcc
hex2ccc040

46972992 has 112 divisors (see below), whose sum is σ = 141622272. Its totient is φ = 13601280.

The previous prime is 46972973. The next prime is 46973021. The reversal of 46972992 is 29927964.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48093 + ... + 49059.

Almost surely, 246972992 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 46972992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70811136).

46972992 is an abundant number, since it is smaller than the sum of its proper divisors (94649280).

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

46972992 is a wasteful number, since it uses less digits than its factorization.

46972992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1006 counting only the distinct ones).

The product of its digits is 489888, while the sum is 48.

The square root of 46972992 is about 6853.6845564995. The cubic root of 46972992 is about 360.8134691130.

The spelling of 46972992 in words is "forty-six million, nine hundred seventy-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 132 138 176 184 192 253 264 276 352 368 506 528 552 704 736 759 967 1012 1056 1104 1472 1518 1934 2024 2112 2208 2901 3036 3868 4048 4416 5802 6072 7736 8096 10637 11604 12144 15472 16192 21274 22241 23208 24288 30944 31911 42548 44482 46416 48576 61888 63822 66723 85096 88964 92832 127644 133446 170192 177928 185664 244651 255288 266892 340384 355856 489302 510576 533784 680768 711712 733953 978604 1021152 1067568 1423424 1467906 1957208 2042304 2135136 2935812 3914416 4270272 5871624 7828832 11743248 15657664 23486496 46972992