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80240952 = 233111719941
BaseRepresentation
bin1001100100001…
…10000100111000
312120222122220010
410302012010320
5131020202302
611543501520
71663015431
oct462060470
9176878803
1080240952
1141326240
1222a578a0
1313815c6c
14a92a488
1570a016c
hex4c86138

80240952 has 128 divisors (see below), whose sum is σ = 244166400. Its totient is φ = 21657600.

The previous prime is 80240929. The next prime is 80240959. The reversal of 80240952 is 25904208.

It is a super-2 number, since 2×802409522 = 12877220755732608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80240959) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84802 + ... + 85742.

It is an arithmetic number, because the mean of its divisors is an integer number (1907550).

Almost surely, 280240952 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 80240952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122083200).

80240952 is an abundant number, since it is smaller than the sum of its proper divisors (163925448).

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

80240952 is a wasteful number, since it uses less digits than its factorization.

80240952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 80240952 is about 8957.7314092353. The cubic root of 80240952 is about 431.3191005424.

The spelling of 80240952 in words is "eighty million, two hundred forty thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 17 19 22 24 33 34 38 44 51 57 66 68 76 88 102 114 132 136 152 187 204 209 228 264 323 374 408 418 456 561 627 646 748 836 941 969 1122 1254 1292 1496 1672 1882 1938 2244 2508 2584 2823 3553 3764 3876 4488 5016 5646 7106 7528 7752 10351 10659 11292 14212 15997 17879 20702 21318 22584 28424 31053 31994 35758 41404 42636 47991 53637 62106 63988 71516 82808 85272 95982 107274 124212 127976 143032 175967 191964 196669 214548 248424 303943 351934 383928 393338 429096 527901 590007 607886 703868 786676 911829 1055802 1180014 1215772 1407736 1573352 1823658 2111604 2360028 2431544 3343373 3647316 4223208 4720056 6686746 7294632 10030119 13373492 20060238 26746984 40120476 80240952