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1157426688 = 29311611123
BaseRepresentation
bin100010011111100…
…1110111000000000
32222122220100221010
41010333032320000
54332300123223
6310503400520
740452651555
oct10477167000
92878810833
101157426688
11544378890
12283753140
13155a39582
14ada0aa2c
156b92b393
hex44fcee00

1157426688 has 160 divisors (see below), whose sum is σ = 3421959552. Its totient is φ = 344678400.

The previous prime is 1157426681. The next prime is 1157426689. The reversal of 1157426688 is 8866247511.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157426681) 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, 1030095 + ... + 1031217.

Almost surely, 21157426688 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 1157426688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710979776).

1157426688 is an abundant number, since it is smaller than the sum of its proper divisors (2264532864).

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

1157426688 is a wasteful number, since it uses less digits than its factorization.

1157426688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1200 counting only the distinct ones).

The product of its digits is 645120, while the sum is 48.

The square root of 1157426688 is about 34020.9742364912. The cubic root of 1157426688 is about 1049.9400382992.

The spelling of 1157426688 in words is "one billion, one hundred fifty-seven million, four hundred twenty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 61 64 66 88 96 122 128 132 176 183 192 244 256 264 352 366 384 488 512 528 671 704 732 768 976 1056 1123 1342 1408 1464 1536 1952 2013 2112 2246 2684 2816 2928 3369 3904 4026 4224 4492 5368 5632 5856 6738 7808 8052 8448 8984 10736 11712 12353 13476 15616 16104 16896 17968 21472 23424 24706 26952 31232 32208 35936 37059 42944 46848 49412 53904 64416 68503 71872 74118 85888 93696 98824 107808 128832 137006 143744 148236 171776 197648 205509 215616 257664 274012 287488 296472 343552 395296 411018 431232 515328 548024 574976 592944 753533 790592 822036 862464 1030656 1096048 1185888 1507066 1581184 1644072 1724928 2192096 2260599 2371776 3014132 3162368 3288144 4384192 4521198 4743552 6028264 6324736 6576288 8768384 9042396 9487104 12056528 13152576 17536768 18084792 18974208 24113056 26305152 35073536 36169584 48226112 52610304 72339168 96452224 105220608 144678336 192904448 289356672 385808896 578713344 1157426688