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90719424 = 2632295431
BaseRepresentation
bin1010110100001…
…00010011000000
320022201000122200
411122010103000
5141211010144
613000233200
72151050055
oct532042300
9208630580
1090719424
1147232934
122646b800
1315a44543
14c09702c
157e6ec69
hex56844c0

90719424 has 84 divisors (see below), whose sum is σ = 269046960. Its totient is φ = 29191680.

The previous prime is 90719417. The next prime is 90719437. The reversal of 90719424 is 42491709.

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, 13989 + ... + 19419.

It is an arithmetic number, because the mean of its divisors is an integer number (3202940).

Almost surely, 290719424 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 90719424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134523480).

90719424 is an abundant number, since it is smaller than the sum of its proper divisors (178327536).

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

90719424 is a wasteful number, since it uses less digits than its factorization.

90719424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5478 (or 5465 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 90719424 is about 9524.6744826267. The cubic root of 90719424 is about 449.3313922632.

The spelling of 90719424 in words is "ninety million, seven hundred nineteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 144 174 192 232 261 288 348 464 522 576 696 928 1044 1392 1856 2088 2784 4176 5431 5568 8352 10862 16293 16704 21724 32586 43448 48879 65172 86896 97758 130344 157499 173792 195516 260688 314998 347584 391032 472497 521376 629996 782064 944994 1042752 1259992 1417491 1564128 1889988 2519984 2834982 3128256 3779976 5039968 5669964 7559952 10079936 11339928 15119904 22679856 30239808 45359712 90719424