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80189952 = 293173783
BaseRepresentation
bin1001100011110…
…01101000000000
312120220001221020
410301321220000
5131012034302
611542425440
71662413643
oct461715000
9176801836
1080189952
11412a0997
1222a32280
13137c899b
14a915a5a
15708eebc
hex4c79a00

80189952 has 160 divisors (see below), whose sum is σ = 235109952. Its totient is φ = 24182784.

The previous prime is 80189903. The next prime is 80189953. The reversal of 80189952 is 25998108.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (80189953) 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, 966103 + ... + 966185.

Almost surely, 280189952 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 80189952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117554976).

80189952 is an abundant number, since it is smaller than the sum of its proper divisors (154920000).

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

80189952 is a wasteful number, since it uses less digits than its factorization.

80189952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The square root of 80189952 is about 8954.8842538583. The cubic root of 80189952 is about 431.2277010944.

The spelling of 80189952 in words is "eighty million, one hundred eighty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 37 48 51 64 68 74 83 96 102 111 128 136 148 166 192 204 222 249 256 272 296 332 384 408 444 498 512 544 592 629 664 768 816 888 996 1088 1184 1258 1328 1411 1536 1632 1776 1887 1992 2176 2368 2516 2656 2822 3071 3264 3552 3774 3984 4233 4352 4736 5032 5312 5644 6142 6528 7104 7548 7968 8466 8704 9213 9472 10064 10624 11288 12284 13056 14208 15096 15936 16932 18426 18944 20128 21248 22576 24568 26112 28416 30192 31872 33864 36852 40256 42496 45152 49136 52207 56832 60384 63744 67728 73704 80512 90304 98272 104414 120768 127488 135456 147408 156621 161024 180608 196544 208828 241536 270912 294816 313242 322048 361216 393088 417656 483072 541824 589632 626484 722432 786176 835312 966144 1083648 1179264 1252968 1572352 1670624 2167296 2358528 2505936 3341248 4717056 5011872 6682496 10023744 13364992 20047488 26729984 40094976 80189952