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42276052 = 22713374373
BaseRepresentation
bin1010000101000…
…1010011010100
32221112211211201
42201101103110
541310313202
64110042244
71022224540
oct241212324
987484751
1042276052
1121955695
12121a9384
1389b2820
145886a20
153aa1387
hex28514d4

42276052 has 96 divisors (see below), whose sum is σ = 97002752. Its totient is φ = 15676416.

The previous prime is 42276029. The next prime is 42276053. The reversal of 42276052 is 25067224.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 42276052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42276053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 579088 + ... + 579160.

Almost surely, 242276052 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 42276052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48501376).

42276052 is an abundant number, since it is smaller than the sum of its proper divisors (54726700).

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

42276052 is a wasteful number, since it uses less digits than its factorization.

42276052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 42276052 is about 6502.0036911709. The cubic root of 42276052 is about 348.3625608792.

The spelling of 42276052 in words is "forty-two million, two hundred seventy-six thousand, fifty-two".

Divisors: 1 2 4 7 13 14 26 28 37 43 52 73 74 86 91 146 148 172 182 259 292 301 364 481 511 518 559 602 949 962 1022 1036 1118 1204 1591 1898 1924 2044 2236 2701 3139 3182 3367 3796 3913 5402 6278 6364 6643 6734 7826 10804 11137 12556 13286 13468 15652 18907 20683 21973 22274 26572 35113 37814 40807 41366 43946 44548 70226 75628 81614 82732 87892 116143 140452 144781 163228 232286 245791 285649 289562 464572 491582 571298 579124 813001 983164 1142596 1509859 1626002 3019718 3252004 6039436 10569013 21138026 42276052