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42473004 = 2237317607
BaseRepresentation
bin1010001000000…
…1011000101100
32221220212000020
42202001120230
541333114004
64114202140
71024005000
oct242013054
987825006
1042473004
1121a7a662
1212283350
138a51372
1458d8700
153ade8d9
hex288162c

42473004 has 96 divisors (see below), whose sum is σ = 122572800. Its totient is φ = 11402496.

The previous prime is 42472993. The next prime is 42473029. The reversal of 42473004 is 40037424.

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, 69669 + ... + 70275.

It is an arithmetic number, because the mean of its divisors is an integer number (1276800).

Almost surely, 242473004 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 42473004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61286400).

42473004 is an abundant number, since it is smaller than the sum of its proper divisors (80099796).

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

42473004 is a wasteful number, since it uses less digits than its factorization.

42473004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 42473004 is about 6517.1315776191. The cubic root of 42473004 is about 348.9026967157.

The spelling of 42473004 in words is "forty-two million, four hundred seventy-three thousand, four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 204 238 294 343 357 476 588 607 686 714 833 1029 1214 1372 1428 1666 1821 2058 2428 2499 3332 3642 4116 4249 4998 5831 7284 8498 9996 10319 11662 12747 16996 17493 20638 23324 25494 29743 30957 34986 41276 50988 59486 61914 69972 72233 89229 118972 123828 144466 178458 208201 216699 288932 356916 416402 433398 505631 624603 832804 866796 1011262 1249206 1516893 2022524 2498412 3033786 3539417 6067572 7078834 10618251 14157668 21236502 42473004