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80471952 = 243211101503
BaseRepresentation
bin1001100101111…
…10011110010000
312121102101202200
410302332132100
5131100100302
611552443200
71665000051
oct462763620
9177371680
1080471952
1141473850
1222b49500
1313897152
14a98a728
1570e881c
hex4cbe790

80471952 has 120 divisors (see below), whose sum is σ = 248609088. Its totient is φ = 24096000.

The previous prime is 80471887. The next prime is 80471953. The reversal of 80471952 is 25917408.

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 (80471953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159733 + ... + 160235.

Almost surely, 280471952 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 80471952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124304544).

80471952 is an abundant number, since it is smaller than the sum of its proper divisors (168137136).

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

80471952 is a wasteful number, since it uses less digits than its factorization.

80471952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 80471952 is about 8970.6160323581. The cubic root of 80471952 is about 431.7326020107.

It can be divided in two parts, 8047 and 1952, that added together give a palindrome (9999).

The spelling of 80471952 in words is "eighty million, four hundred seventy-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 101 132 144 176 198 202 264 303 396 404 503 528 606 792 808 909 1006 1111 1212 1509 1584 1616 1818 2012 2222 2424 3018 3333 3636 4024 4444 4527 4848 5533 6036 6666 7272 8048 8888 9054 9999 11066 12072 13332 14544 16599 17776 18108 19998 22132 24144 26664 33198 36216 39996 44264 49797 50803 53328 66396 72432 79992 88528 99594 101606 132792 152409 159984 199188 203212 265584 304818 398376 406424 457227 558833 609636 796752 812848 914454 1117666 1219272 1676499 1828908 2235332 2438544 3352998 3657816 4470664 5029497 6705996 7315632 8941328 10058994 13411992 20117988 26823984 40235976 80471952