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67244952 = 23319316771
BaseRepresentation
bin1000000001000…
…01001110011000
311200112101201210
410000201032120
5114203314302
610401143120
71444400265
oct400411630
9150471653
1067244952
1134a5a145
121a62aaa0
1310c15818
148d0626c
155d8466c
hex4021398

67244952 has 128 divisors (see below), whose sum is σ = 188006400. Its totient is φ = 19958400.

The previous prime is 67244941. The next prime is 67244963. The reversal of 67244952 is 25944276.

It is an interprime number because it is at equal distance from previous prime (67244941) and next prime (67244963).

It is a self number, because there is not a number n which added to its sum of digits gives 67244952.

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, 947077 + ... + 947147.

It is an arithmetic number, because the mean of its divisors is an integer number (1468800).

Almost surely, 267244952 is an apocalyptic number.

67244952 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67244952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94003200).

67244952 is an abundant number, since it is smaller than the sum of its proper divisors (120761448).

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

67244952 is a wasteful number, since it uses less digits than its factorization.

67244952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 193 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 67244952 is about 8200.3019456603. The cubic root of 67244952 is about 406.6491753951.

The spelling of 67244952 in words is "sixty-seven million, two hundred forty-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 31 38 57 62 67 71 76 93 114 124 134 142 152 186 201 213 228 248 268 284 372 402 426 456 536 568 589 744 804 852 1178 1273 1349 1608 1704 1767 2077 2201 2356 2546 2698 3534 3819 4047 4154 4402 4712 4757 5092 5396 6231 6603 7068 7638 8094 8308 8804 9514 10184 10792 12462 13206 14136 14271 15276 16188 16616 17608 19028 24924 26412 28542 30552 32376 38056 39463 41819 49848 52824 57084 78926 83638 90383 114168 118389 125457 147467 157852 167276 180766 236778 250914 271149 294934 315704 334552 361532 442401 473556 501828 542298 589868 723064 884802 947112 1003656 1084596 1179736 1769604 2169192 2801873 3539208 5603746 8405619 11207492 16811238 22414984 33622476 67244952