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46142316 = 2232111091069
BaseRepresentation
bin1011000000000…
…1001101101100
310012211021100200
42300001031230
543303023231
64324553500
71100126463
oct260011554
9105737320
1046142316
1124056450
1213552890
13973755c
1461b19da
1540b6be6
hex2c0136c

46142316 has 72 divisors (see below), whose sum is σ = 128528400. Its totient is φ = 13841280.

The previous prime is 46142287. The next prime is 46142321. The reversal of 46142316 is 61324164.

It is a super-2 number, since 2×461423162 = 4258226651687712, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 46142316.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42630 + ... + 43698.

Almost surely, 246142316 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 46142316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64264200).

46142316 is an abundant number, since it is smaller than the sum of its proper divisors (82386084).

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

46142316 is a wasteful number, since it uses less digits than its factorization.

46142316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1194 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 46142316 is about 6792.8135555159. The cubic root of 46142316 is about 358.6739175869.

The spelling of 46142316 in words is "forty-six million, one hundred forty-two thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 109 132 198 218 327 396 436 654 981 1069 1199 1308 1962 2138 2398 3207 3597 3924 4276 4796 6414 7194 9621 10791 11759 12828 14388 19242 21582 23518 35277 38484 43164 47036 70554 105831 116521 141108 211662 233042 349563 423324 466084 699126 1048689 1281731 1398252 2097378 2563462 3845193 4194756 5126924 7690386 11535579 15380772 23071158 46142316