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87402888 = 23341931229
BaseRepresentation
bin1010011010110…
…10100110001000
320002110112020000
411031122212020
5134333343023
612401203000
72110624626
oct515324610
9202415200
1087402888
11453780a1
1225330460
1315152ab1
14b872516
157a17243
hex535a988

87402888 has 160 divisors (see below), whose sum is σ = 267168000. Its totient is φ = 26593920.

The previous prime is 87402881. The next prime is 87402893. The reversal of 87402888 is 88820478.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (87402881) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 381558 + ... + 381786.

It is an arithmetic number, because the mean of its divisors is an integer number (1669800).

Almost surely, 287402888 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 87402888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133584000).

87402888 is an abundant number, since it is smaller than the sum of its proper divisors (179765112).

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

87402888 is a wasteful number, since it uses less digits than its factorization.

87402888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 87402888 is about 9348.9511711207. The cubic root of 87402888 is about 443.7876998189.

It can be divided in two parts, 8740 and 2888, that added together give a triangular number (11628 = T152).

The spelling of 87402888 in words is "eighty-seven million, four hundred two thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 31 36 38 54 57 62 72 76 81 93 108 114 124 152 162 171 186 216 228 229 248 279 324 342 372 456 458 513 558 589 648 684 687 744 837 916 1026 1116 1178 1368 1374 1539 1674 1767 1832 2052 2061 2232 2356 2511 2748 3078 3348 3534 4104 4122 4351 4712 5022 5301 5496 6156 6183 6696 7068 7099 8244 8702 10044 10602 12312 12366 13053 14136 14198 15903 16488 17404 18549 20088 21204 21297 24732 26106 28396 31806 34808 37098 39159 42408 42594 47709 49464 52212 56792 63612 63891 74196 78318 85188 95418 104424 117477 127224 127782 134881 148392 156636 170376 190836 191673 234954 255564 269762 313272 352431 381672 383346 404643 469908 511128 539524 575019 704862 766692 809286 939816 1079048 1150038 1213929 1409724 1533384 1618572 2300076 2427858 2819448 3237144 3641787 4600152 4855716 7283574 9711432 10925361 14567148 21850722 29134296 43701444 87402888