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42365988 = 2232734773
BaseRepresentation
bin1010000110011…
…1010000100100
32221201102012200
42201213100210
541321202423
64112014500
71023051000
oct241472044
987642180
1042365988
1121a07215
1212231430
138a14742
1458ab700
153abcd43
hex2867424

42365988 has 144 divisors (see below), whose sum is σ = 129292800. Its totient is φ = 11684736.

The previous prime is 42365969. The next prime is 42365993. The reversal of 42365988 is 88956324.

It is a super-2 number, since 2×423659882 = 3589753878432288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 580320 + ... + 580392.

Almost surely, 242365988 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 42365988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64646400).

42365988 is an abundant number, since it is smaller than the sum of its proper divisors (86926812).

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

42365988 is a wasteful number, since it uses less digits than its factorization.

42365988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 132 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 42365988 is about 6508.9160387886. The cubic root of 42365988 is about 348.6094157228.

The spelling of 42365988 in words is "forty-two million, three hundred sixty-five thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 49 63 73 84 94 98 126 141 146 147 188 196 219 252 282 292 294 329 343 423 438 441 511 564 588 657 658 686 846 876 882 987 1022 1029 1314 1316 1372 1533 1692 1764 1974 2044 2058 2303 2628 2961 3066 3087 3431 3577 3948 4116 4599 4606 5922 6132 6174 6862 6909 7154 9198 9212 10293 10731 11844 12348 13724 13818 14308 16121 18396 20586 20727 21462 24017 25039 27636 30879 32193 32242 41172 41454 42924 48034 48363 50078 61758 64386 64484 72051 75117 82908 96068 96726 100156 123516 128772 144102 145089 150234 168119 193452 216153 225351 288204 290178 300468 336238 432306 450702 504357 580356 672476 864612 901404 1008714 1176833 1513071 2017428 2353666 3026142 3530499 4707332 6052284 7060998 10591497 14121996 21182994 42365988