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90753552 = 24321993167
BaseRepresentation
bin1010110100011…
…00101000010000
320022202202110200
411122030220100
5141213103202
613001055200
72151251421
oct532145020
9208682420
1090753552
114725653a
1226487500
1315a56c36
14c0a5648
157e79e1c
hex568ca10

90753552 has 60 divisors (see below), whose sum is σ = 255340800. Its totient is φ = 30089664.

The previous prime is 90753503. The next prime is 90753571. The reversal of 90753552 is 25535709.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27073 + ... + 30239.

It is an arithmetic number, because the mean of its divisors is an integer number (4255680).

Almost surely, 290753552 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 90753552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127670400).

90753552 is an abundant number, since it is smaller than the sum of its proper divisors (164587248).

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

90753552 is a wasteful number, since it uses less digits than its factorization.

90753552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3380 (or 3371 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 36.

The square root of 90753552 is about 9526.4658714552. The cubic root of 90753552 is about 449.3877302870.

The spelling of 90753552 in words is "ninety million, seven hundred fifty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 199 398 597 796 1194 1592 1791 2388 3167 3184 3582 4776 6334 7164 9501 9552 12668 14328 19002 25336 28503 28656 38004 50672 57006 76008 114012 152016 228024 456048 630233 1260466 1890699 2520932 3781398 5041864 5672097 7562796 10083728 11344194 15125592 22688388 30251184 45376776 90753552