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40997628 = 22327374397
BaseRepresentation
bin1001110001100…
…1001011111100
32212010220011200
42130121023330
540443411003
64022415500
71005321420
oct234311374
985126150
1040997628
1121162141
1211891590
138655969
145632b80
1538ec6a3
hex27192fc

40997628 has 72 divisors (see below), whose sum is σ = 121666272. Its totient is φ = 11394432.

The previous prime is 40997609. The next prime is 40997653. The reversal of 40997628 is 82679904.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 7126 + ... + 11522.

Almost surely, 240997628 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 40997628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60833136).

40997628 is an abundant number, since it is smaller than the sum of its proper divisors (80668644).

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

40997628 is a wasteful number, since it uses less digits than its factorization.

40997628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4451 (or 4446 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 40997628 is about 6402.9390126722. The cubic root of 40997628 is about 344.8150741773.

The spelling of 40997628 in words is "forty million, nine hundred ninety-seven thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 222 252 259 333 444 518 666 777 1036 1332 1554 2331 3108 4397 4662 8794 9324 13191 17588 26382 30779 39573 52764 61558 79146 92337 123116 158292 162689 184674 277011 325378 369348 488067 554022 650756 976134 1108044 1138823 1464201 1952268 2277646 2928402 3416469 4555292 5856804 6832938 10249407 13665876 20498814 40997628