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87703416 = 233223211251
BaseRepresentation
bin1010011101000…
…11111101111000
320010000210110200
411032203331320
5134423002131
612411442200
72113316043
oct516437570
9203023420
1087703416
1145562969
1225456360
1315229818
14b90dc5a
157a762e6
hex53a3f78

87703416 has 96 divisors (see below), whose sum is σ = 250024320. Its totient is φ = 27720000.

The previous prime is 87703409. The next prime is 87703477. The reversal of 87703416 is 61430778.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 349291 + ... + 349541.

It is an arithmetic number, because the mean of its divisors is an integer number (2604420).

Almost surely, 287703416 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 87703416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125012160).

87703416 is an abundant number, since it is smaller than the sum of its proper divisors (162320904).

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

87703416 is a wasteful number, since it uses less digits than its factorization.

87703416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 87703416 is about 9365.0101975385. The cubic root of 87703416 is about 444.2957610617.

The spelling of 87703416 in words is "eighty-seven million, seven hundred three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 211 251 276 414 422 502 552 633 753 828 844 1004 1266 1506 1656 1688 1899 2008 2259 2532 3012 3798 4518 4853 5064 5773 6024 7596 9036 9706 11546 14559 15192 17319 18072 19412 23092 29118 34638 38824 43677 46184 51957 52961 58236 69276 87354 103914 105922 116472 138552 158883 174708 207828 211844 317766 349416 415656 423688 476649 635532 953298 1218103 1271064 1906596 2436206 3654309 3813192 4872412 7308618 9744824 10962927 14617236 21925854 29234472 43851708 87703416