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42499072 = 21073112
BaseRepresentation
bin1010001000011…
…1110000000000
32221222011202201
42202013300000
541334432242
64114522544
71024144000
oct242076000
987864681
1042499072
1121a98200
1212296454
138a601a5
145904000
153ae74b7
hex2887c00

42499072 has 132 divisors (see below), whose sum is σ = 108900400. Its totient is φ = 16558080.

The previous prime is 42499063. The next prime is 42499081. The reversal of 42499072 is 27099424.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (42499063) and next prime (42499081).

It is a super-2 number, since 2×424990722 = 3612342241722368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3863547 + ... + 3863557.

Almost surely, 242499072 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 42499072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54450200).

42499072 is an abundant number, since it is smaller than the sum of its proper divisors (66401328).

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

42499072 is an equidigital number, since it uses as much as digits as its factorization.

42499072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 42499072 is about 6519.1312304632. The cubic root of 42499072 is about 348.9740623247.

Multiplying 42499072 by its product of nonzero digits (36288), we get a square (1542206324736 = 12418562).

The spelling of 42499072 in words is "forty-two million, four hundred ninety-nine thousand, seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 121 128 154 176 196 224 242 256 308 343 352 392 448 484 512 539 616 686 704 784 847 896 968 1024 1078 1232 1372 1408 1568 1694 1792 1936 2156 2464 2744 2816 3136 3388 3584 3773 3872 4312 4928 5488 5632 5929 6272 6776 7168 7546 7744 8624 9856 10976 11264 11858 12544 13552 15092 15488 17248 19712 21952 23716 25088 27104 30184 30976 34496 39424 41503 43904 47432 50176 54208 60368 61952 68992 78848 83006 87808 94864 108416 120736 123904 137984 166012 175616 189728 216832 241472 275968 332024 351232 379456 433664 482944 551936 664048 758912 867328 965888 1328096 1517824 1931776 2656192 3035648 3863552 5312384 6071296 10624768 21249536 42499072