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80101152 = 2532377517
BaseRepresentation
bin1001100011000…
…11111100100000
312120201120010100
410301203330200
5131001214102
611540502400
71661564025
oct461437440
9176646110
1080101152
11412401aa
12229aaa00
1313797441
14a8d154c
157073a1c
hex4c63f20

80101152 has 72 divisors (see below), whose sum is σ = 233975196. Its totient is φ = 25975296.

The previous prime is 80101141. The next prime is 80101159. The reversal of 80101152 is 25110108.

It can be written as a sum of positive squares in 2 ways, for example, as 62157456 + 17943696 = 7884^2 + 4236^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (80101159) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6898 + ... + 14414.

Almost surely, 280101152 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 80101152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116987598).

80101152 is an abundant number, since it is smaller than the sum of its proper divisors (153874044).

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

80101152 is a wasteful number, since it uses less digits than its factorization.

80101152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7570 (or 7559 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 80101152 is about 8949.9246924206. The cubic root of 80101152 is about 431.0684660013.

The spelling of 80101152 in words is "eighty million, one hundred one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 2664 3552 5328 7517 10656 15034 22551 30068 45102 60136 67653 90204 120272 135306 180408 240544 270612 278129 360816 541224 556258 721632 834387 1082448 1112516 1668774 2164896 2225032 2503161 3337548 4450064 5006322 6675096 8900128 10012644 13350192 20025288 26700384 40050576 80101152