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40292772 = 223131811427
BaseRepresentation
bin1001100110110…
…1000110100100
32210211002021220
42121231012210
540303332042
63555340340
7666324432
oct231550644
983732256
1040292772
1120820613
12115b16b0
138469ba0
1454cbd52
15380d8ec
hex266d1a4

40292772 has 48 divisors (see below), whose sum is σ = 101879232. Its totient is φ = 12320640.

The previous prime is 40292767. The next prime is 40292789. The reversal of 40292772 is 27729204.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27523 + ... + 28949.

It is an arithmetic number, because the mean of its divisors is an integer number (2122484).

Almost surely, 240292772 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 40292772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50939616).

40292772 is an abundant number, since it is smaller than the sum of its proper divisors (61586460).

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

40292772 is a wasteful number, since it uses less digits than its factorization.

40292772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 40292772 is about 6347.6587809995. The cubic root of 40292772 is about 342.8275503229.

The spelling of 40292772 in words is "forty million, two hundred ninety-two thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 181 362 543 724 1086 1427 2172 2353 2854 4281 4706 5708 7059 8562 9412 14118 17124 18551 28236 37102 55653 74204 111306 222612 258287 516574 774861 1033148 1549722 3099444 3357731 6715462 10073193 13430924 20146386 40292772