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1042038452 = 227132412131
BaseRepresentation
bin111110000111000…
…011111010110100
32200121210001000202
4332013003322310
54113230212302
6251222300032
734552115660
oct7607037264
92617701022
101042038452
11495226a04
12250b87618
13137b68800
149c5718a0
1561737202
hex3e1c3eb4

1042038452 has 108 divisors (see below), whose sum is σ = 2330764128. Its totient is φ = 399110400.

The previous prime is 1042038383. The next prime is 1042038461. The reversal of 1042038452 is 2548302401.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7954427 + ... + 7954557.

Almost surely, 21042038452 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 1042038452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165382064).

1042038452 is an abundant number, since it is smaller than the sum of its proper divisors (1288725676).

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

1042038452 is a wasteful number, since it uses less digits than its factorization.

1042038452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 1042038452 is about 32280.6203781774. The cubic root of 1042038452 is about 1013.8209195035.

The spelling of 1042038452 in words is "one billion, forty-two million, thirty-eight thousand, four hundred fifty-two".

Divisors: 1 2 4 7 13 14 26 28 41 52 82 91 131 164 169 182 262 287 338 364 524 533 574 676 917 1066 1148 1183 1681 1703 1834 2132 2366 3362 3406 3668 3731 4732 5371 6724 6812 6929 7462 10742 11767 11921 13858 14924 21484 21853 22139 23534 23842 27716 37597 43706 44278 47068 47684 48503 69823 75194 87412 88556 97006 139646 150388 152971 154973 194012 220211 279292 284089 305942 309946 440422 488761 568178 611884 619892 880844 907699 977522 1136356 1541477 1815398 1955044 1988623 2862743 3082954 3630796 3977246 5725486 6165908 6353893 7954492 11450972 12707786 20039201 25415572 37215659 40078402 74431318 80156804 148862636 260509613 521019226 1042038452