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1427932944 = 2432472672
BaseRepresentation
bin101010100011100…
…1000011100010000
310200111220111202100
41111013020130100
510411022323234
6353405320400
750246141544
oct12507103420
93614814670
101427932944
11673038179
1233a266100
13199aab949
14d7903a24
1585561399
hex551c8710

1427932944 has 135 divisors (see below), whose sum is σ = 4144915047. Its totient is φ = 458897472.

The previous prime is 1427932937. The next prime is 1427932951. The reversal of 1427932944 is 4492397241.

The square root of 1427932944 is 37788.

It is a perfect power (a square), and thus also a powerful number.

1427932944 is a `hidden beast` number, since 14 + 279 + 329 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (1427932937) and next prime (1427932951).

It is a self number, because there is not a number n which added to its sum of digits gives 1427932944.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21312399 + ... + 21312465.

Almost surely, 21427932944 is an apocalyptic number.

1427932944 is the 37788-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1427932944

1427932944 is an abundant number, since it is smaller than the sum of its proper divisors (2716982103).

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

1427932944 is an equidigital number, since it uses as much as digits as its factorization.

1427932944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 119 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The cubic root of 1427932944 is about 1126.0800673315.

The spelling of 1427932944 in words is "one billion, four hundred twenty-seven million, nine hundred thirty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 67 72 94 134 141 144 188 201 268 282 376 402 423 536 564 603 752 804 846 1072 1128 1206 1608 1692 2209 2256 2412 3149 3216 3384 4418 4489 4824 6298 6627 6768 8836 8978 9447 9648 12596 13254 13467 17672 17956 18894 19881 25192 26508 26934 28341 35344 35912 37788 39762 40401 50384 53016 53868 56682 71824 75576 79524 80802 106032 107736 113364 148003 151152 159048 161604 210983 215472 226728 296006 318096 323208 421966 444009 453456 592012 632949 646416 843932 888018 1184024 1265898 1332027 1687864 1776036 1898847 2368048 2531796 2664054 3375728 3552072 3797694 5063592 5328108 7104144 7595388 9916201 10127184 10656216 15190776 19832402 21312432 29748603 30381552 39664804 59497206 79329608 89245809 118994412 158659216 178491618 237988824 356983236 475977648 713966472 1427932944