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42920024 = 2372347709
BaseRepresentation
bin1010001110111…
…0100001011000
32222202120012112
42203232201120
541441420044
64131531452
71030546160
oct243564130
988676175
1042920024
11222554a4
1212459b88
138b79984
1459b35a0
153b7c09e
hex28ee858

42920024 has 64 divisors (see below), whose sum is σ = 98150400. Its totient is φ = 17195904.

The previous prime is 42920021. The next prime is 42920041. The reversal of 42920024 is 42002924.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42920021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60182 + ... + 60890.

It is an arithmetic number, because the mean of its divisors is an integer number (1533600).

Almost surely, 242920024 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 42920024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49075200).

42920024 is an abundant number, since it is smaller than the sum of its proper divisors (55230376).

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

42920024 is a wasteful number, since it uses less digits than its factorization.

42920024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 42920024 is about 6551.3375733510. The cubic root of 42920024 is about 350.1224714257.

Adding to 42920024 its reverse (42002924), we get a palindrome (84922948).

The spelling of 42920024 in words is "forty-two million, nine hundred twenty thousand, twenty-four".

Divisors: 1 2 4 7 8 14 23 28 46 47 56 92 94 161 184 188 322 329 376 644 658 709 1081 1288 1316 1418 2162 2632 2836 4324 4963 5672 7567 8648 9926 15134 16307 19852 30268 32614 33323 39704 60536 65228 66646 114149 130456 133292 228298 233261 266584 456596 466522 766429 913192 933044 1532858 1866088 3065716 5365003 6131432 10730006 21460012 42920024