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42917328 = 2432491607
BaseRepresentation
bin1010001110110…
…1110111010000
32222202102111200
42203231313100
541441323303
64131511200
71030535256
oct243556720
988672450
1042917328
1122253473
1212458500
138b7868c
1459b25d6
153b7b3a3
hex28eddd0

42917328 has 60 divisors (see below), whose sum is σ = 120551808. Its totient is φ = 14253120.

The previous prime is 42917317. The next prime is 42917339. The reversal of 42917328 is 82371924.

It is an interprime number because it is at equal distance from previous prime (42917317) and next prime (42917339).

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

It is a junction number, because it is equal to n+sod(n) for n = 42917292 and 42917301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70401 + ... + 71007.

Almost surely, 242917328 is an apocalyptic number.

42917328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42917328 is an abundant number, since it is smaller than the sum of its proper divisors (77634480).

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

42917328 is a wasteful number, since it uses less digits than its factorization.

42917328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1103 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 42917328 is about 6551.1318106110. The cubic root of 42917328 is about 350.1151403491.

It can be divided in two parts, 429173 and 28, that added together give a triangular number (429201 = T926).

The spelling of 42917328 in words is "forty-two million, nine hundred seventeen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 491 607 982 1214 1473 1821 1964 2428 2946 3642 3928 4419 4856 5463 5892 7284 7856 8838 9712 10926 11784 14568 17676 21852 23568 29136 35352 43704 70704 87408 298037 596074 894111 1192148 1788222 2384296 2682333 3576444 4768592 5364666 7152888 10729332 14305776 21458664 42917328