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40046148 = 223219127461
BaseRepresentation
bin1001100011000…
…0111001000100
32210100112222200
42120300321010
540222434043
63550154500
7664246422
oct230607104
983315880
1040046148
112067229a
12114b2a30
1383b185c
145466112
1537b07d3
hex2630e44

40046148 has 72 divisors (see below), whose sum is σ = 107627520. Its totient is φ = 12519360.

The previous prime is 40046131. The next prime is 40046161. The reversal of 40046148 is 84164004.

40046148 is a `hidden beast` number, since 40 + 0 + 4 + 614 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86638 + ... + 87098.

Almost surely, 240046148 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 40046148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53813760).

40046148 is an abundant number, since it is smaller than the sum of its proper divisors (67581372).

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

40046148 is a wasteful number, since it uses less digits than its factorization.

40046148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 40046148 is about 6328.2025884132. The cubic root of 40046148 is about 342.1266587395.

The spelling of 40046148 in words is "forty million, forty-six thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 127 171 228 254 342 381 461 508 684 762 922 1143 1383 1524 1844 2286 2413 2766 4149 4572 4826 5532 7239 8298 8759 9652 14478 16596 17518 21717 26277 28956 35036 43434 52554 58547 78831 86868 105108 117094 157662 175641 234188 315324 351282 526923 702564 1053846 1112393 2107692 2224786 3337179 4449572 6674358 10011537 13348716 20023074 40046148