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7530468048 = 2433291274733
BaseRepresentation
bin1110000001101100…
…11101001011010000
3201102210220102011000
413000312131023100
5110410244434143
63243124022000
7354416631225
oct70066351320
921383812130
107530468048
113214831114
121561b31900
1393019806c
145161a394c
152e119ebd3
hex1c0d9d2d0

7530468048 has 160 divisors (see below), whose sum is σ = 22541414400. Its totient is φ = 2404007424.

The previous prime is 7530468047. The next prime is 7530468061. The reversal of 7530468048 is 8408640357.

It is a junction number, because it is equal to n+sod(n) for n = 7530467994 and 7530468012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7530468047) 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, 1588690 + ... + 1593422.

It is an arithmetic number, because the mean of its divisors is an integer number (140883840).

Almost surely, 27530468048 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 7530468048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11270707200).

7530468048 is an abundant number, since it is smaller than the sum of its proper divisors (15010946352).

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

7530468048 is a wasteful number, since it uses less digits than its factorization.

7530468048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4906 (or 4894 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 7530468048 is about 86778.2694457547. The cubic root of 7530468048 is about 1960.0808699105.

The spelling of 7530468048 in words is "seven billion, five hundred thirty million, four hundred sixty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 127 144 174 216 232 254 261 348 381 432 464 508 522 696 762 783 1016 1044 1143 1392 1524 1566 2032 2088 2286 3048 3132 3429 3683 4176 4572 4733 6096 6264 6858 7366 9144 9466 11049 12528 13716 14199 14732 18288 18932 22098 27432 28398 29464 33147 37864 42597 44196 54864 56796 58928 66294 75728 85194 88392 99441 113592 127791 132588 137257 170388 176784 198882 227184 255582 265176 274514 340776 397764 411771 511164 530352 549028 601091 681552 795528 823542 1022328 1098056 1202182 1235313 1591056 1647084 1803273 2044656 2196112 2404364 2470626 3294168 3606546 3705939 4808728 4941252 5409819 6588336 7213092 7411878 9617456 9882504 10819638 14426184 14823756 16229457 17431639 19765008 21639276 28852368 29647512 32458914 34863278 43278552 52294917 59295024 64917828 69726556 86557104 104589834 129835656 139453112 156884751 209179668 259671312 278906224 313769502 418359336 470654253 627539004 836718672 941308506 1255078008 1882617012 2510156016 3765234024 7530468048