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87842292 = 22337432107
BaseRepresentation
bin1010011110001…
…01110111110100
320010021211222020
411033011313310
5134441423132
612414433140
72114434656
oct517056764
9203254866
1087842292
114564823a
12255027b0
1315277ab5
14b9486d6
157aa252c
hex53c5df4

87842292 has 72 divisors (see below), whose sum is σ = 217528416. Its totient is φ = 27566784.

The previous prime is 87842291. The next prime is 87842297. The reversal of 87842292 is 29224878.

Its product of digits (129024) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87842291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 820903 + ... + 821009.

It is an arithmetic number, because the mean of its divisors is an integer number (3021228).

Almost surely, 287842292 is an apocalyptic number.

It is an amenable number.

87842292 is an abundant number, since it is smaller than the sum of its proper divisors (129686124).

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

87842292 is a wasteful number, since it uses less digits than its factorization.

87842292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 192 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 87842292 is about 9372.4218855107. The cubic root of 87842292 is about 444.5301475189.

The spelling of 87842292 in words is "eighty-seven million, eight hundred forty-two thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 12 37 43 74 86 107 111 129 148 172 214 222 258 321 428 444 516 642 1284 1591 1849 3182 3698 3959 4601 4773 5547 6364 7396 7918 9202 9546 11094 11877 13803 15836 18404 19092 22188 23754 27606 47508 55212 68413 136826 170237 197843 205239 273652 340474 395686 410478 510711 593529 680948 791372 820956 1021422 1187058 2042844 2374116 7320191 14640382 21960573 29280764 43921146 87842292