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46996380 = 223251571663
BaseRepresentation
bin1011001101000…
…1101110011100
310021102122220200
42303101232130
544012341010
64355143500
71110314454
oct263215634
9107378820
1046996380
112458a092
12138a4b90
139976212
146354d64
1541d4cc0
hex2cd1b9c

46996380 has 72 divisors (see below), whose sum is σ = 143549952. Its totient is φ = 12445056.

The previous prime is 46996357. The next prime is 46996387. The reversal of 46996380 is 8369964.

46996380 is a `hidden beast` number, since 4 + 6 + 9 + 9 + 638 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46996387) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27429 + ... + 29091.

Almost surely, 246996380 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 46996380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71774976).

46996380 is an abundant number, since it is smaller than the sum of its proper divisors (96553572).

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

46996380 is a wasteful number, since it uses less digits than its factorization.

46996380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1835 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 46996380 is about 6855.3905796825. The cubic root of 46996380 is about 360.8733425629.

The spelling of 46996380 in words is "forty-six million, nine hundred ninety-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 157 180 314 471 628 785 942 1413 1570 1663 1884 2355 2826 3140 3326 4710 4989 5652 6652 7065 8315 9420 9978 14130 14967 16630 19956 24945 28260 29934 33260 49890 59868 74835 99780 149670 261091 299340 522182 783273 1044364 1305455 1566546 2349819 2610910 3133092 3916365 4699638 5221820 7832730 9399276 11749095 15665460 23498190 46996380