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42979740 = 223517291453
BaseRepresentation
bin1010001111110…
…1000110011100
32222212121010020
42203331012130
542000322430
64133112140
71031215236
oct243750634
988777106
1042979740
1122296351
1212488650
138b9abcb
1459cb256
153b8eb10
hex28fd19c

42979740 has 96 divisors (see below), whose sum is σ = 131906880. Its totient is φ = 10407936.

The previous prime is 42979697. The next prime is 42979753. The reversal of 42979740 is 4797924.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 42979692 and 42979701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28854 + ... + 30306.

It is an arithmetic number, because the mean of its divisors is an integer number (1374030).

Almost surely, 242979740 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 42979740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65953440).

42979740 is an abundant number, since it is smaller than the sum of its proper divisors (88927140).

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

42979740 is a wasteful number, since it uses less digits than its factorization.

42979740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 42979740 is about 6555.8935317773. The cubic root of 42979740 is about 350.2847750347.

The spelling of 42979740 in words is "forty-two million, nine hundred seventy-nine thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 29 30 34 51 58 60 68 85 87 102 116 145 170 174 204 255 290 340 348 435 493 510 580 870 986 1020 1453 1479 1740 1972 2465 2906 2958 4359 4930 5812 5916 7265 7395 8718 9860 14530 14790 17436 21795 24701 29060 29580 42137 43590 49402 74103 84274 87180 98804 123505 126411 148206 168548 210685 247010 252822 296412 370515 421370 494020 505644 632055 716329 741030 842740 1264110 1432658 1482060 2148987 2528220 2865316 3581645 4297974 7163290 8595948 10744935 14326580 21489870 42979740