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80417072 = 2417417211
BaseRepresentation
bin1001100101100…
…01000100110000
312121022121111002
410302301010300
5131041321242
611551341132
71664351051
oct462610460
9177277432
1080417072
114143659a
1222b217a8
1313878188
14a974728
1570d7432
hex4cb1130

80417072 has 40 divisors (see below), whose sum is σ = 169020432. Its totient is φ = 36915200.

The previous prime is 80417053. The next prime is 80417143. The reversal of 80417072 is 27071408.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7547 + ... + 14757.

Almost surely, 280417072 is an apocalyptic number.

80417072 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80417072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84510216).

80417072 is an abundant number, since it is smaller than the sum of its proper divisors (88603360).

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

80417072 is a wasteful number, since it uses less digits than its factorization.

80417072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7277 (or 7271 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 29.

The square root of 80417072 is about 8967.5566348922. The cubic root of 80417072 is about 431.6344358266.

The spelling of 80417072 in words is "eighty million, four hundred seventeen thousand, seventy-two".

Divisors: 1 2 4 8 16 17 34 41 68 82 136 164 272 328 656 697 1394 2788 5576 7211 11152 14422 28844 57688 115376 122587 245174 295651 490348 591302 980696 1182604 1961392 2365208 4730416 5026067 10052134 20104268 40208536 80417072