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469035252 = 223372263337
BaseRepresentation
bin11011111101001…
…110100011110100
31012200120110102000
4123331032203310
51430033112002
6114313015300
714423506500
oct3375164364
91180513360
10469035252
11220838144
121110b4530
1376232c6a
1446415300
152b29d61c
hex1bf4e8f4

469035252 has 144 divisors (see below), whose sum is σ = 1424142720. Its totient is φ = 133104384.

The previous prime is 469035247. The next prime is 469035263. The reversal of 469035252 is 252530964.

469035252 is a `hidden beast` number, since 46 + 90 + 3 + 525 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1391628 + ... + 1391964.

It is an arithmetic number, because the mean of its divisors is an integer number (9889880).

Almost surely, 2469035252 is an apocalyptic number.

469035252 is a gapful number since it is divisible by the number (42) 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 469035252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712071360).

469035252 is an abundant number, since it is smaller than the sum of its proper divisors (955107468).

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

469035252 is a wasteful number, since it uses less digits than its factorization.

469035252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 469035252 is about 21657.2217054727. The cubic root of 469035252 is about 776.9656668540.

The spelling of 469035252 in words is "four hundred sixty-nine million, thirty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 263 294 337 378 441 526 588 674 756 789 882 1011 1052 1323 1348 1578 1764 1841 2022 2359 2367 2646 3033 3156 3682 4044 4718 4734 5292 5523 6066 7077 7101 7364 9099 9436 9468 11046 12132 12887 14154 14202 16513 16569 18198 21231 22092 25774 28308 28404 33026 33138 36396 38661 42462 49539 49707 51548 63693 66052 66276 77322 84924 88631 99078 99414 115983 127386 148617 154644 177262 198156 198828 231966 254772 265893 297234 347949 354524 445851 463932 531786 594468 620417 695898 797679 891702 1063572 1240834 1391796 1595358 1783404 1861251 2393037 2481668 3190716 3722502 4342919 4786074 5583753 7445004 8685838 9572148 11167506 13028757 16751259 17371676 22335012 26057514 33502518 39086271 52115028 67005036 78172542 117258813 156345084 234517626 469035252