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89703072 = 2533473
BaseRepresentation
bin1010101100011…
…00001010100000
320020210101111000
411112030022200
5140430444242
612522352000
72136314664
oct526141240
9206711430
1089703072
11466a9278
122605b600
1315779a54
14bcb08a4
157d1da4c
hex558c2a0

89703072 has 96 divisors (see below), whose sum is σ = 267321600. Its totient is φ = 29264832.

The previous prime is 89703071. The next prime is 89703091. The reversal of 89703072 is 27030798.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×897030722 = 16093282252474368, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (89703071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1908553 + ... + 1908599.

It is an arithmetic number, because the mean of its divisors is an integer number (2784600).

Almost surely, 289703072 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 89703072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133660800).

89703072 is an abundant number, since it is smaller than the sum of its proper divisors (177618528).

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

89703072 is an frugal number, since it uses more digits than its factorization.

89703072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 89703072 is about 9471.1705717931. The cubic root of 89703072 is about 447.6470966550.

The spelling of 89703072 in words is "eighty-nine million, seven hundred three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 72 94 96 108 141 144 188 216 282 288 376 423 432 564 752 846 864 1128 1269 1504 1692 2209 2256 2538 3384 4418 4512 5076 6627 6768 8836 10152 13254 13536 17672 19881 20304 26508 35344 39762 40608 53016 59643 70688 79524 103823 106032 119286 159048 207646 212064 238572 311469 318096 415292 477144 622938 636192 830584 934407 954288 1245876 1661168 1868814 1908576 2491752 2803221 3322336 3737628 4983504 5606442 7475256 9967008 11212884 14950512 22425768 29901024 44851536 89703072