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42416088 = 233111317727
BaseRepresentation
bin1010000111001…
…1011111011000
32221210221221020
42201303133120
541324303323
64113042440
71023350031
oct241633730
987727836
1042416088
1121a40920
1212256420
138a314a0
1458c1a88
153accae3
hex28737d8

42416088 has 128 divisors (see below), whose sum is σ = 132088320. Its totient is φ = 11151360.

The previous prime is 42416069. The next prime is 42416093. The reversal of 42416088 is 88061424.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57981 + ... + 58707.

It is an arithmetic number, because the mean of its divisors is an integer number (1031940).

Almost surely, 242416088 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 42416088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66044160).

42416088 is an abundant number, since it is smaller than the sum of its proper divisors (89672232).

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

42416088 is a wasteful number, since it uses less digits than its factorization.

42416088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 42416088 is about 6512.7634687589. The cubic root of 42416088 is about 348.7467778893.

The spelling of 42416088 in words is "forty-two million, four hundred sixteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 17 22 24 26 33 34 39 44 51 52 66 68 78 88 102 104 132 136 143 156 187 204 221 264 286 312 374 408 429 442 561 572 663 727 748 858 884 1122 1144 1326 1454 1496 1716 1768 2181 2244 2431 2652 2908 3432 4362 4488 4862 5304 5816 7293 7997 8724 9451 9724 12359 14586 15994 17448 18902 19448 23991 24718 28353 29172 31988 37077 37804 47982 49436 56706 58344 63976 74154 75608 95964 98872 103961 113412 135949 148308 160667 191928 207922 226824 271898 296616 311883 321334 407847 415844 482001 543796 623766 642668 815694 831688 964002 1087592 1247532 1285336 1631388 1767337 1928004 2495064 3262776 3534674 3856008 5302011 7069348 10604022 14138696 21208044 42416088