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80746632 = 23343532
BaseRepresentation
bin1001101000000…
…01100010001000
312121221100120000
410310001202020
5131132343012
612002403000
72000222631
oct464014210
9177840500
1080746632
114164115a
1223060460
1313962195
14aa1c888
15714eddc
hex4d01888

80746632 has 60 divisors (see below), whose sum is σ = 226807845. Its totient is φ = 26839296.

The previous prime is 80746609. The next prime is 80746649. The reversal of 80746632 is 23664708.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 80030916 + 715716 = 8946^2 + 846^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=6354.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 228568 + ... + 228920.

Almost surely, 280746632 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 80746632

80746632 is an abundant number, since it is smaller than the sum of its proper divisors (146061213).

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

80746632 is an equidigital number, since it uses as much as digits as its factorization.

80746632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 80746632 is about 8985.9129753186. The cubic root of 80746632 is about 432.2232642234.

It can be divided in two parts, 8074 and 6632, that added together give a triangular number (14706 = T171).

The spelling of 80746632 in words is "eighty million, seven hundred forty-six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 353 648 706 1059 1412 2118 2824 3177 4236 6354 8472 9531 12708 19062 25416 28593 38124 57186 76248 114372 124609 228744 249218 373827 498436 747654 996872 1121481 1495308 2242962 2990616 3364443 4485924 6728886 8971848 10093329 13457772 20186658 26915544 40373316 80746632