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47493264 = 24371383131
BaseRepresentation
bin1011010100101…
…1000010010000
310022100220111210
42311023002100
544124241024
64413540120
71114454220
oct265130220
9108326453
1047493264
1124899435
1213aa4640
139abb430
146444080
154282129
hex2d4b090

47493264 has 160 divisors (see below), whose sum is σ = 153990144. Its totient is φ = 12280320.

The previous prime is 47493253. The next prime is 47493287. The reversal of 47493264 is 46239474.

It is a super-2 number, since 2×474932642 = 4511220250747392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 362479 + ... + 362609.

Almost surely, 247493264 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 47493264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76995072).

47493264 is an abundant number, since it is smaller than the sum of its proper divisors (106496880).

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

47493264 is a wasteful number, since it uses less digits than its factorization.

47493264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 239 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 47493264 is about 6891.5356779168. The cubic root of 47493264 is about 362.1407020990.

The spelling of 47493264 in words is "forty-seven million, four hundred ninety-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 83 84 91 104 112 131 156 166 168 182 208 249 262 273 312 332 336 364 393 498 524 546 581 624 664 728 786 917 996 1048 1079 1092 1162 1328 1456 1572 1703 1743 1834 1992 2096 2158 2184 2324 2751 3144 3237 3406 3486 3668 3984 4316 4368 4648 5109 5502 6288 6474 6812 6972 7336 7553 8632 9296 10218 10873 11004 11921 12948 13624 13944 14672 15106 17264 20436 21746 22008 22659 23842 25896 27248 27888 30212 32619 35763 40872 43492 44016 45318 47684 51792 60424 65238 71526 76111 81744 86984 90636 95368 120848 130476 141349 143052 152222 173968 181272 190736 228333 260952 282698 286104 304444 362544 424047 456666 521904 565396 572208 608888 848094 913332 989443 1130792 1217776 1696188 1826664 1978886 2261584 2968329 3392376 3653328 3957772 5936658 6784752 7915544 11873316 15831088 23746632 47493264