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87874398 = 232233141167
BaseRepresentation
bin1010011110011…
…01101101011110
320010100111000100
411033031231132
5134443440043
612415241530
72114630403
oct517155536
9203314010
1087874398
114566a377
12255192a6
13152895b1
14b9562aa
157aabcd3
hex53cdb5e

87874398 has 96 divisors (see below), whose sum is σ = 211341312. Its totient is φ = 26294400.

The previous prime is 87874393. The next prime is 87874433. The reversal of 87874398 is 89347878.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87874393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 526111 + ... + 526277.

It is an arithmetic number, because the mean of its divisors is an integer number (2201472).

Almost surely, 287874398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87874398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105670656).

87874398 is an abundant number, since it is smaller than the sum of its proper divisors (123466914).

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

87874398 is a wasteful number, since it uses less digits than its factorization.

87874398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 267 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 87874398 is about 9374.1345200504. The cubic root of 87874398 is about 444.5842989083.

The spelling of 87874398 in words is "eighty-seven million, eight hundred seventy-four thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 9 18 23 31 41 46 62 69 82 93 123 138 167 186 207 246 279 334 369 414 501 558 713 738 943 1002 1271 1426 1503 1886 2139 2542 2829 3006 3813 3841 4278 5177 5658 6417 6847 7626 7682 8487 10354 11439 11523 12834 13694 15531 16974 20541 22878 23046 29233 31062 34569 41082 46593 58466 61623 69138 87699 93186 119071 123246 157481 175398 212257 238142 263097 314962 357213 424514 472443 526194 636771 714426 944886 1071639 1273542 1417329 1910313 2143278 2834658 3820626 4881911 9763822 14645733 29291466 43937199 87874398